Area od rectangular patio= 90m^2
w=9m.
The formula to find the are of a rectangle is given by:
[tex]A=w*l[/tex]Substituing the values A=90 and w=9.
[tex]\begin{gathered} 90m^2=9m*l \\ \end{gathered}[/tex]Solvinf for l:
[tex]\begin{gathered} \frac{90m^2}{9m}=l \\ \\ l=10m \end{gathered}[/tex]Answer: The long of the patio is 10 meters.